> Suppose I have a linear mixed-effects model (from the package nlme) with 
> nested random effects (see below); how would I present the results from 
 the random effects part in a publication?
> 

Have you tried anova(lme(....))?

Your asin(sqrt()) looks a bit like these are percentages of counts. The method 
is still quoted in old books, but has fallen a bit out of favor. Have you 
thought of some glm model instead (http://www.stats.ox.ac.uk/pub/MASS4/)? 

Dieter Menne

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